Answered: Since an instant replay system for…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CT: Chapter Test

Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.

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Since an instant replay system for tennis was introduced at a major tournament, men challenged

1407

referee calls, with the result that

429

of the calls were overturned. Women challenged

775

referee calls, and

220

of the calls were overturned. Use a

0.05

significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below.

a. Test the claim using a hypothesis test.

Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test?

H0:

p1≠p2

H1:

p1=p2

H0:

p1=p2

H1:

p1≠p2

H0:

p1≤p2

H1:

p1≠p2

H0:

p1=p2

H1:

p1>p2

H0:

p1=p2

H1:

p1<p2

H0:

p1≥p2

H1:

p1≠p2

Identify the test statistic.

z=nothing

(Round to two decimal places as needed.)

Identify the P-value.

P-value=nothing

(Round to three decimal places as needed.)

What is the conclusion based on the hypothesis test?

The P-value is

▼

the significance level of

α=0.05,

▼

the null hypothesis. There

▼

evidence to warrant rejection of the claim that women and men have equal success in challenging calls.

b. Test the claim by constructing an appropriate confidence interval.

The

95%

confidence interval is

nothing<p1−p2<nothing.

(Round to three decimal places as needed.)

What is the conclusion based on the confidence interval?

Because the confidence interval limits

▼

include

do not include

0, there

▼

does

does not

appear to be a significant difference between the two proportions. There

▼

is sufficient

is not sufficient

evidence to warrant rejection of the claim that men and women have equal success in challenging calls.

c. Based on the results, does it appear that men and women may have equal success in challenging calls?

The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.

The confidence interval suggests that there is a significant difference between the success of men and women in challenging calls. It is reasonable to speculate that men have more success.

The confidence interval suggests that there is a significant difference between the success of men and women in challenging calls. It is reasonable to speculate that women have more success.

There is not enough information to reach a conclusion.

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